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Measuring the Natural Rate of Interest
The Laubach-Williams and Holston-Laubach-Williams models provide estimates of the natural rate of interest, or r-star, and related variables. Their approach defines r-star as the real short-term interest rate expected to prevail when an economy is at full strength and inflation is stable.
LW Estimates for the United States
The Laubach-Williams (2003) model uses data on real GDP, inflation, and the federal funds rate to extract trends in U.S. economic growth and other factors influencing the natural rate of interest. Holston, Laubach, and Williams (2023) adapts the model following the COVID‑19 pandemic.
Download Data Series and Code for LW Estimation
Real-time estimates (based on vintage data)
Current model estimates (previously labeled "updated estimates"; data include parameter estimates)
Replication code for COVID-adjusted LW Model
(current; as of Feb 28, 2025)
Current model estimates (previously labeled "updated estimates"; data include parameter estimates)
Replication code for COVID-adjusted LW Model
(current; as of Feb 28, 2025)
Archived Materials
Replication code for LW (2003) model (as of November 1, 2019)
Notes on the August 31, 2018, estimates
Adapting the Laubach and Williams and Holston, Laubach, and Williams Models to the COVID‑19 Pandemic (May 27, 2020)
Notes on the August 31, 2018, estimates
Adapting the Laubach and Williams and Holston, Laubach, and Williams Models to the COVID‑19 Pandemic (May 27, 2020)
References
Cho and Williams. 2025. "Comparing Apples to Apples: 'Synthetic Real-Time' Estimates of R-Star," Liberty Street Economics, March 3.
Holston, Laubach, and Williams. 2023. “Measuring the Natural Rate of Interest after COVID‑19,” Federal Reserve Bank of New York Staff Reports, no. 1063, June.
Laubach and Williams. 2003. “Measuring the Natural Rate of Interest,” Review of Economics and Statistics 85, no.4 (November): 1063-70.
Working paper version: “Measuring the Natural Rate of Interest”
Holston, Laubach, and Williams. 2023. “Measuring the Natural Rate of Interest after COVID‑19,” Federal Reserve Bank of New York Staff Reports, no. 1063, June.
Laubach and Williams. 2003. “Measuring the Natural Rate of Interest,” Review of Economics and Statistics 85, no.4 (November): 1063-70.
Working paper version: “Measuring the Natural Rate of Interest”
Release Schedule
Released at or shortly after 2:00 p.m.
2025
Feb 28
May 30
Aug 29
Nov 28
2025
Feb 28
May 30
Aug 29
Nov 28
Note: The New York Fed does not offer individualized services to readers, such as custom charts or analysis.
The replication code zip files shared above contain programs to run the LW and HLW estimation using input data series provided in the "current model estimates" spreadsheet. Consult the code guides in the zip packages as well as the scholarly references on this web page for information on the data series used to run the models and their sources.
The Laubach-Williams and Holston-Laubach-Williams estimates were previously published on the Federal Reserve Bank of San Francisco’s website. No aspects of the methodology changed when publication moved to the Federal Reserve Bank of New York. See our “Notes” summarizing the effects of the 2018 National Income and Product Account (NIPA) revisions on our estimates of r-star and related variables above.
How to cite this report: Federal Reserve Bank of New York,
Measuring the Natural Rate of Interest, https://www.newyorkfed.org/research/policy/rstar/overview.
Contact: research.publications@ny.frb.org
The replication code zip files shared above contain programs to run the LW and HLW estimation using input data series provided in the "current model estimates" spreadsheet. Consult the code guides in the zip packages as well as the scholarly references on this web page for information on the data series used to run the models and their sources.
The Laubach-Williams and Holston-Laubach-Williams estimates were previously published on the Federal Reserve Bank of San Francisco’s website. No aspects of the methodology changed when publication moved to the Federal Reserve Bank of New York. See our “Notes” summarizing the effects of the 2018 National Income and Product Account (NIPA) revisions on our estimates of r-star and related variables above.
How to cite this report: Federal Reserve Bank of New York,
Measuring the Natural Rate of Interest, https://www.newyorkfed.org/research/policy/rstar/overview.
Contact: research.publications@ny.frb.org
Disclaimer: The Laubach-Williams and Holston-Laubach-Williams estimates are not official forecasts of the Federal Reserve Bank of New York, its president, the Federal Reserve System, or the Federal Open Market Committee.
HLW Estimates for the United States
The Holston-Laubach-Williams (2017) model extends this analysis to other advanced economies, estimating r-star and related variables for the United States, Canada, and the Euro Area. The Holston-Laubach-Williams (2023) model accounts for time-varying volatility and incorporates a persistent supply shock during the COVID‑19 pandemic. Estimates for all three economies are shown in the HLW Estimates tab linked above.
Download Data Series and Code for HLW Estimation
Real-time estimates
Current model estimates
Replication code for HLW (2023) model
(current; as of Feb 28, 2025)
Current model estimates
Replication code for HLW (2023) model
(current; as of Feb 28, 2025)
Archived Materials
Replication code for HLW (2017) model (as of November 1, 2019)
Adapting the Laubach and Williams and Holston, Laubach, and Williams Models to the COVID‑19 Pandemic (May 27, 2020)
Measuring the Natural Rate of Interest: Past, Present, and Future (May 19, 2023)
Adapting the Laubach and Williams and Holston, Laubach, and Williams Models to the COVID‑19 Pandemic (May 27, 2020)
Measuring the Natural Rate of Interest: Past, Present, and Future (May 19, 2023)
References
Cho and Williams. 2025. "Comparing Apples to Apples: 'Synthetic Real-Time' Estimates of R-Star," Liberty Street Economics, March 3.
Holston, Laubach, and Williams. 2023. “Measuring the Natural Rate of Interest after COVID‑19,” Federal Reserve Bank of New York Staff Reports, no. 1063, June.
Holston, Laubach, and Williams. 2017. “Measuring the Natural Rate of Interest: International Trends and Determinants,” Journal of International Economics 108, Supplemental 1 (May): S39–S75.
Working paper version: “Measuring the Natural Rate of Interest: International Trends and Determinants”
Holston, Laubach, and Williams. 2023. “Measuring the Natural Rate of Interest after COVID‑19,” Federal Reserve Bank of New York Staff Reports, no. 1063, June.
Holston, Laubach, and Williams. 2017. “Measuring the Natural Rate of Interest: International Trends and Determinants,” Journal of International Economics 108, Supplemental 1 (May): S39–S75.
Working paper version: “Measuring the Natural Rate of Interest: International Trends and Determinants”
Release Schedule
Released at or shortly after 2:00 p.m.
2025
Mar 3
Jun 2
Sep 2
Dec 12
2025
Mar 3
Jun 2
Sep 2
Dec 12
DOWNLOADS
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